2. Let g(x) be the following function |12.x – 6x – 3 x<-1 g(x) = 1 6x 9 – x > –1 (a) Find lim,→-1- 9(x) (b) Find lim,-1+ g(x) (c) Find g(-1) (d) Determine whether a(x) is continuous at x = -1. Justify your answer.

Q: 11. If f(x)=Vx f(x)-f(4)| The lim x→4 х-4

A: Given: fx=x To Find:  limx→4fx-f4x-4=?

Q: x=-1 x=1 x%32 -2 EVALUATE lim f (x) x-1-

A:

Q: If 3x - 5 ≤ f(x) ≤ x² - 3x + 4 for x ≥ 0, find lim f(x). x →3

A:

Q: 2. Assume all given functions are continuous. If lim (f(x) - g(x)) = 10 and ƒ(5) = -8 x → 5 Find g…

A: The objective of this question is to find the value of g(5) given that the limit as x approaches 5…

Q: x – 1 is X +2 The rang of f(x)= y = ,

A:

Q: 6- Follow the graphing strategy and analyze the function f(x)= 3x³ -10x³ State all the pertinent…

A: We have to graph the given function and also find the limits.

Q: Let f(x) = -7 –- x². Find each of the following: f(5) – f(4) (A) 5 - 4 | f(4 + h) – f(4) (B) h f(4 +…

A:

Q: (-2x + 3 if x 1 Evaluate the lim f(x) where f(x) x→1

A:

Q: lim f(x) vs f(-3) а. x--3 b. lim f(x) vs f(-1) x--1 c. lim f(x) vs f(1) X-1 d. lim f(x) vs f(3) X-3…

A:

Q: 3. (a) Differentiate the function f(x) = x2 from first principles.

A:

Q: 2. Evaluate lim,.

A: (1) Consider the provided limit, limx→91x-191x-9 Find the limit of the above expression. Simplify…

Q: If 3x – 1 0, find lim f(x). X→3

A: Given query is to find the indicated limit.

Q: 1 Let f(x) = 1, 0sx<2 -x2 + 4x- 3, x22 . Compute lim f(x).

A: Topic -limits

Q: 13. Sketch the graph of f (x) = }" Sx² + 1 if x -1 and use it to evaluate lim_ ƒ (x) and X→-1- lim…

A: Given that: f(x)=x2+1    if    x≤-13            if     x&gt;-1

Q: limits

A: L'Hospital's rule apply only when there is 0/0 for ∞/∞ form.

Q: If 2x – 2 0, find limf (x). x→1

A: We can use the sandwich theorem to solve this question.

Q: Sketch a graph of a function that satisfies all of the following properties. -4- a) f(-6) is…

A: We need to sketch the graph.

Q: Use a table of values to evaluate the limits of the given function

A: Let's find.

Q: Find the value of lim f(x), if x→3+ f(x) 6x + 2 x 3 2x + 6 12 8 18 36 11

A: